After constant threatening for two years, today I tore the carpets out of the house. They were total crap to begin with, put in as the easiest way to cover everything, so no one will see what a shit heap it is. After many years of abuse, subjected to any manor of fluids that originate at canine orifices, it was time for them to go. It was time for them to go two years ago. But, I am slow.
The floor beneath is an immediate improvement. If it weren’t for all the corroded staple damage from the carpeting it would probably refurbish well. I will have to pull out some boards and see what I’m working with. But for a while, all I’ll be doing is removing staples and tackless strips. And aggravating my allergies enough to dehydrate from loss of snot.
From Gauge Fields, Knots and Gravity by Baez & MuniainAlso, we will always assume that our manifolds are ‘Hausdorff’ and ‘paracompact’. These are topological properties that we prefer to avoid explaining here, which are satisfied by all but the most bizarre and useless examples.
Now that’s how a math book should be written.